Coupled oscillators with power-law interaction and their fractional dynamics analoguesстатья
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Аннотация:A one-dimensional chain of coupled oscillators with the long-range power-law interactions is considered. Equations of motion in the infrared limit are mapped onto the continuum equation with the Riesz fractional derivative of order alpha, when 0 < alpha < 2. The evolution of soliton-like and breather-like structures is obtained numerically and compared for two types of simulations: using the chain of oscillators and using the continuous medium equation with the fractional derivative. (C) 2006 Elsevier B. V. All rights reserved.